A Review of Ant Colony Optimization for Solving 0-1 Knapsack and Traveling Salesman Problems

Deleted Journal, Journal Year: 2025, Volume and Issue: 3(2), P. 87 - 99

Published: March 10, 2025

Ant Colony Optimization (ACO) represents a widespread nature-based metaheuristic algorithm which solves combinatorial optimization problems effectively [1]. This research study examines ACO-based solutions for Traveling Salesman Problem (TSP) and 0-1 Knapsack (0-1 KP) are both identified as NP-hard problems. ACO successfully achieves near-optimal because it duplicates real ants' pheromone-based foraging approach operates between exploration exploitation modes effectively. review discusses methods solving complex through discussion of modern solution their evaluation results performance benefits over basic approaches. section presents challenges include computational complexity two additional hybrid models while exploring adaptive parameter adjustments well quantum-inspired optimizations [2]. The development aims at combining this with deep learning reinforcement approaches to boost its operational speed practical across dynamic contexts. findings suggest that remains promising technique vast potential large-scale in various domains [3].

Language: Английский

Quantum-Inspired Statistical Frameworks: Enhancing Traditional Methods with Quantum Principles

Encyclopedia, Journal Year: 2025, Volume and Issue: 5(2), P. 48 - 48

Published: April 4, 2025

This manuscript introduces a comprehensive framework for augmenting classical statistical methodologies through the targeted integration of core quantum mechanical principles—specifically superposition, entanglement, measurement, wavefunctions, and density matrices. By concentrating on these foundational concepts instead whole expanse theory, we propose “quantum-inspired” models that address persistent shortcomings in conventional approaches. In particular, five pivotal distributions (normal, binomial, Poisson, Student’s t, chi-square) are reformulated to incorporate interference terms, phase factors, operator-based transformations, thereby facilitating representation multimodal data, phase-sensitive dependencies, correlated event patterns—characteristics frequently underrepresented purely real-valued, frameworks. Furthermore, ten quantum-inspired principles delineated guide practitioners systematically adapting mechanics traditional inferential tasks. These illustrated domain-specific applications finance, cryptography (distinct from direct applications), healthcare, climate modeling, demonstrating how amplitude-based confidence measures, matrices, measurement analogies can enrich standard by capturing more nuanced correlation structures enhancing predictive performance. unifying constructs with established this work underscores potential interdisciplinary collaboration paves way advanced data analysis tools capable addressing high-dimensional, complex, dynamically evolving datasets. Complete R code ensures reproducibility further exploration.

Language: Английский

A distance determination wolf pack algorithm for solving high-dimensional complex functions and its application

The Journal of Supercomputing, Journal Year: 2025, Volume and Issue: 81(8)

Published: May 16, 2025

Language: Английский